925274880 has 288 divisors, whose sum is σ = 3368675520. Its totient is φ = 240353280.

The previous prime is 925274869. The next prime is 925274893. The reversal of 925274880 is 88472529.

925274880 is a `hidden beast` number, since 9 + 2 + 527 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×925274880² = 1712267207118028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416634 + ... + 1417286.

It is an arithmetic number, because the mean of its divisors is an integer number (11696790).

Almost surely, 2^925274880 is an apocalyptic number.

925274880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684337760).

925274880 is an abundant number, since it is smaller than the sum of its proper divisors (2443400640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

925274880 is a wasteful number, since it uses less digits than its factorization.

925274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 925274880 is about 30418.3313151790. The cubic root of 925274880 is about 974.4440854620. Note that the first 3 decimals are identical.

The spelling of 925274880 in words is "nine hundred twenty-five million, two hundred seventy-four thousand, eight hundred eighty".